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211122222100002 = 23229404448701341
BaseRepresentation
bin110000000000001110111001…
…000011010110111000100010
31000200112002100122201201112100
4300000032321003112320202
5210133011302324200002
62025004113200511230
762320035322306203
oct6000167103267042
91020462318651470
10211122222100002
11612a7482480a64
121b818a9901b516
1390a5981068b65
143a1c5276935aa
151961b9083411c
hexc003b90d6e22

211122222100002 has 24 divisors (see below), whose sum is σ = 473204980570140. Its totient is φ = 67947381825120.

The previous prime is 211122222099977. The next prime is 211122222100007. The reversal of 211122222100002 is 200001222221112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 191609850667041 + 19512371432961 = 13842321^2 + 4417281^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211122222100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202224350149 + ... + 202224351192.

Almost surely, 2211122222100002 is an apocalyptic number.

211122222100002 is an abundant number, since it is smaller than the sum of its proper divisors (262082758470138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211122222100002 is a wasteful number, since it uses less digits than its factorization.

211122222100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404448701378 (or 404448701375 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211122222100002 its reverse (200001222221112), we get a palindrome (411123444321114).

The spelling of 211122222100002 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 404448701341 808897402682 1213346104023 2426692208046 3640038312069 7280076624138 11729012338889 23458024677778 35187037016667 70374074033334 105561111050001 211122222100002